212109900 has 144 divisors (see below), whose sum is σ = 640021536. Its totient is φ = 54190080.

The previous prime is 212109899. The next prime is 212109907. The reversal of 212109900 is 9901212.

It is not an unprimeable number, because it can be changed into a prime (212109907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076602 + ... + 1076798.

It is an arithmetic number, because the mean of its divisors is an integer number (4444594).

Almost surely, 2^212109900 is an apocalyptic number.

212109900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212109900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320010768).

212109900 is an abundant number, since it is smaller than the sum of its proper divisors (427911636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212109900 is a wasteful number, since it uses less digits than its factorization.

212109900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 212109900 is about 14563.9932710778. The cubic root of 212109900 is about 596.3762132333.

The spelling of 212109900 in words is "two hundred twelve million, one hundred nine thousand, nine hundred".